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The radius of a muonic hydrogen atom is ...

The radius of a muonic hydrogen atom is `2.5 xx10^(-13)m.` What is the total atomic volume in `m^3` of a mole of such hydrogen atom.

Text Solution

Verified by Experts

Here,` r = 2.5xx 10^(-13)m`
Number of atoms in one mole,
`N = 6.023 xx10^(23)`
:. Volume of one mole of such hydrogen atoms
`V = N xx(4)/(3)xx(22)/(7)(2.5xx10^(-13))^3`
`V = 3.94xx10^(-14)m^3`
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Knowledge Check

  • The unit of length convenient on the atomic scale is known a an angstrom and is denoted by A10^(10)m . The radius of the hydrogen atom is about 0.5 A. What is the total atomic valume in m^(3) of a mole of hydrogen atoms?

    A
    `3.15xx10^(-7)m^(3)`
    B
    `3.15xx10^(-9)m^(3)`
    C
    `3.15xx10^(-4)m^(3)`
    D
    `3.15xx10^(-20)m^(3)`

  • The radius of an orbit in hydrogen atom is equal to

    A
    `n^(2)h^(2)//4pi^(2)mZe^(2)`
    B
    `2pi Ze^(2)//nh`
    C
    `2pi^(2)mZ^(2)e^(4)//n^(2)h^(2)`
    D
    `-2pi^(2)mZ^(2)e^(2)//n^(2)h^(2)`

  • Radius of Bohr's orbit of hydrogen atom is

    A
    `0.24 Å`
    B
    `0.48 Å`
    C
    `0.53 Å`
    D
    `1.06 Å`

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